Do I have schizotypal disorder or even schizophrenia?

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^^^i think you have a kinda beautiful mind

Thanks.

Coincidences associated with 5, 23, 421 are larger:
1. Two smallest numbers in that triplet have sum of digits 10, like 21 7.
2. Sum of 5 and 23 is 28, the sum of 21 and 7 is the same.
3. First digits in larger of numbers 5 and 23 is 2, like in the case of 21 7.
4. 5 and 23 are Thabit numbers (known also as 321 numbers); I had something like coincidences with these numbers.
5. Sum of digits in 5 and 23 is a 321 number, it is 5.
6. Triplet: 5, 23, 421 is formed by the same five digits which form five-membered arithmetic sequence (1, 2, 3, 4, 5) as triplet: 33, 42, 51, which is pretty coincident for me; in 5, 23, 421 digit 2 repeats itself, in 33, 42, 51 digit 3 repeats oneself; both triplets have six digits.
7. From the largest number in triplet 5, 23, 421 numbers 21 (421) and 42 (421) can be separated, numbers 4 and 21 also can be separated at the same time (421), their product is 84, so number 421 is coincident with 21, 42, 84.

I suppose that probability of all numerical coincidences associated with "giant egg" together is about 1:1 000 000 000 000 000 000 000 (1x10^21, so very, very low), after including all their aspects (7, 29, 139; 21.7; 33, 42, 51; Thabit numbers, F21, F42.2, F84.5 (which will be described below)).

Sums of numbers in corresponding numbers in triplets 7, 29, 139 and 5, 23, 421 are:
- 12 (7+5),
- 52 (29+23),
- 560 (139+421).

We have triplet: 12, 52, 560. It has 7 digits which have sum of them 21. Its sums of digits in its members are:
- 3 (1+2),
- 7 (5+2),
- 11 (5+6+0).

We received three very coincident numbers. They are additive primes. They form arithmetic sequence. Sum of numbers in it is 21. Aritmetic mean of numbers of that sequence is 7. Sum of digits in it is 12. Number of digits is 4. Product of digits forming that sequence is 21 and is the same as sum of its numbers.

I found a triplet very similar to 12, 52, 560 based on numbers in codes F21, F42.2, F84.5. If we multiply numbers before dots by numbers after dots and rewrite number after F after which there is no dot as it stands, we receive:
- 21 (no dot after the number in F21 code),
- 84 (42x2)
- 420 (84x5).

Triplet 21, 84, 420 has 7 digits and their sum is 21. Sums of digits in them form geometric sequence when sorted ascendingly: 3, 6, 12. Last number in triplet 21, 84, 420 has 0 as last digit and is three-digit, like 560 in triplet 12, 52, 560. Two smaller numbers have two digits in them, it is true for both 12, 52, 560 and 21, 84, 420.

Numbers formed by separating two first digits in numbers of triplet 21, 84, 420 are: 21, 84, 42. When they are sorted ascendingly or descendinlgy. they form "miraculous geometrical sequences": 21, 42, 84 and 84, 42, 21.

I noticed certain 21.7 features in sums of numbers associated with triplet 7, 29, 139.

Sum of numbers in that triplet is 175.

Sum of numbers of sums of digits in 7, 29, 139 is 31:
7+(2+9)+(1+3+9) = 7+11+13 = 31.

Sum of numbers of sums of digits in 7, 11, 13 is 13:
7+(1+1)+(1+3) = 7+2+4 = 13.

We have received triplet: 175, 31, 13.
It consists of 7 digits and the sum of these digits is 21.

Arithmetic mean of sum of digits in triplet 175, 31, 13 is 7:
(1+7+5)+(3+1)+(1+3) = 13+4+4 = 21; 21:3 = 7 (3 is the number of numbers in 13, 4, 4).

Triplets: 7, 47, 139 and 7, 83, 139 produce the same features, but with other three-digit numbers (which are additive primes, unlike 175). They are rather not as coincident with 21.7 and 3, 6, 9 as 7, 29, 139.
1. From first digits in triplets 7, 47, 139 numbers 21 and 7 can't be formed (but product of 21 and 7, 147, can be formed), 21 and 7 together also can't be formed from first digits of 7, 83, 139.
2. Sum of digits other than first ones from numbers forming 7, 47, 139 is not 21 (it is 19 (7+3+9) and has not 7 as its arithmetic mean), that sum of digits in the case of 7, 83, 139 is 15 (3+3+9), it also has not 7 as its arithmetic mean (although it is formed by digits from 3, 6, 9 group (more precisely, 3 and 9 and 3 repeats oneself).
3. Product of digits of 7, 47, 139 is not divisible by 3*6*9 (it is 5292, 5292:162 = 32,(6)) and the product of digits forming 7, 83, 139 (4536) is not 162 (3*6*9) times larger than product of digits in 7, 11, 13 (which is 21), but it is 216 times larger, 216 is not divisible by 162.

"Giant egg" - 5, 23, 421 and 7, 29, 139 have the same sum of digits which do not repeat oneself in six numbers forming these triplets (7+2+1+3 = 13, 5+3+4+1 = 13); 7, 47, 139 and 7, 83, 139 have other sums of non-repeating digits (4+1+3+9 = 17, 7+8+1+9 = 25).

I noticed coincidences associated with numbers 12 and 4 last time. Large ones are associated with sums of first, second and third digits in two very coincident triplets: 7, 29, 139 and 5, 23, 421.

Sum of digits in first numbers: 7+5 = 12.
Sum of digits in second numbers: 2+9+2+3 = 16.
Sum of digits in third numbers: 1+3+9+4+2+1 = 20.

We have received arithmetic sequence: 12, 16, 20. Sums of digits in these two numbers are additive primes and two triplets which "gave" numbers 12, 16, 20 are built of additive primes:
- 1+2 = 3,
- 1+6 = 7,
- 2+0 = 2.

Why 12, 16, 20 is coincident with 12 4?

1. The smallest member of that sequence is 12.
2. Sum of numbers in that sequence is 48 and 48 is 12x4.
3. Difference between the largest and the smallest term of that sequence is 8, 8 is 12-4 (difference of 12 and 4), (12+4) : 2 (arithmetic mean of 12 and 4) and 1x2x4 (product of digits forming phrase 12 4).
4. Common difference of 12, 16, 20 is 4.
5. Arithmetic mean of 12, 16, 20 is 16, 16 is 12+4.
6. Middle term of that sequence is 16, 16 is 12+4.
7. Sum of digits in that sequence is 12 (1+2+1+6+2+0).
8. Arithmetic mean of sum of digits in numbers forming sequence above is 4 (((1+2)+(1+6)+(2+0)):3 = (3+7+2):3 = 12:3 = 4).
9. Number of terms of 12, 16, 20 is 3, 3 is 12:4.

Coincidences are like special interest or hobby in my case. I think that their influence on my level of functioning is significantly smaller than it looks.

I have been diagnosed with Asperger’s syndrome and OCD since above 10 years and I think that they have significantly more impact on my functioning than series of mysterious coincidences.

I got medications mainly due to OCD (at the beginning clomipramine and fluvoxamine. later paroxetine which I get also now (40 mg daily at morning)) even before having coincidences, the doses were rather smaller than now and psychotropic drugs like olanzapine, sulpiride, chlorprothixene do not prevent from new coincs. But I want to not get even medications for OCD, because they may impact ability to drive a car and I think that having driving licence and possibility of driving a car would be really beneficial in finding a job.

I have never driven a car although I am almost 28 years old. I live in small locality where there are no school or church. I have to ride by bus, which is accessible only on certain times of day (for example, last bus to my locality is about 9 p.m., so I could not finish my job at 10 p.m., because I would have not bus to go back to my village, job at weekends also could be really problematic). I have pretty good access to buses, which allowed me to study in nearest big city from 2010 to 2015 without living in that city, I still lived in my small locality then.

If I had not coincidences, I still could have suspiciousness (which started when I was about 16), solipsistic or egotheistic ideas (which were present before 18th birthday), thoughts about grandiosity (grandiose and bizarre fantasies were present in me when I was about 12) and messengership (for which coincidences may be very good “fuel”). So maybe I would receive diagnosis of schizotypal disorder even without coincidences. Coincidences may be associated with delusions of reference and apostleship, though.

Even some phenomena which are not a sign of mental disorders may impact my functioning significantly, like believing in possibility of eternal damnation associated with endless torment.

I noticed some other references to 12.4 in numbers associated with my coincidences:

- sum of digits of “miraculous geometric sequence” (21, 42, 84) is 147 - digits in the 147 (1, 4, 7) form arithmetic sequence with sum 12 and arithmetic mean 4,
- first digits in sequence 33, 42, 51 (3, 4, 5) form arithmetic sequence with sum 12 and arithmetic mean 4,
- sums of digits in sequence 6, 13, 20 (6, 4, 2) form arithmetic sequence with sum 12 and arithmetic mean 4,
- sums of digits in sequence 2, 31, 60 (2, 4, 6), which is formed by the same digits as 6, 13, 20, form arithmetic sequence with sum 12 and arithmetic mean 4,
- sums of digits in sequences 0, 13, 26 and 0, 31, 62 (0, 4, 8 ) form arithmetic sequences with sum 12 and arithmetic mean 4.

I also noticed that there is another double which have the same product of digits, difference and arithmetic mean, but it is formed by two THE SAME numbers, in addition, one-digit ones. It is 0 and 0. (0+0):2 = 0 = 0-0 = 0x0. I suppose that 21.7 and 12.4 may be only doubles formed by different numbers which have these three properties. I discovered some mathematical curiosities due to my “coincidences”, but if someone also noticed them? I suppose that very few people (or maybe even none before me) noticed them in the entire history. My mentality considers my numerous coincs as somewhat very epic and beautiful, sort of compensation of existence of sin and pain.

I take meds regularly last months. I still have nasty OCD about infection and oathing. OCD about infection is really limiting and gives large discomfort. I am afraid of germs and viruses, for example on ground. I have also fear of impure animals and their meat (mostly pork) because religions which prohibit them looks credible for my mind although in my religion there is no unclean animals. I have profound problems with religion. I do not take the sacraments (Eucharist, penance) since about two months, it is not good. I often spent much more than three hours daily in the Internet, during the time when I surfed in Internet as much I had significantly less obsessions and compulsions associated with taking oaths to Allah. I read about non-Catholic monotheistic religions since about 2011 (I do not remember when it started). I met opinions that:

- Mosaic Law is still valid and we have to circumcise boys and men, keep Sabbath, Passover, some people who believed in these doctrines accepted Jesus as Messiah, some did not accept Him,
- popes since some decades (or even more than eight centuries!) are heretics and “mainstream” Catholicism is heretical and lead to eternal torment (opinions of rigorous sedevacantists),
- Quran is true Word of One and Only God and if a person rejects it he/she will burn and be tormented in Hell, Gehenna, rather for eternity, I read quite much about numerical and scientific miracles of the Quran, most credible Muslims for me are quranists, not sunnis or shias,
- Bible (Old and New Testaments) is true, but there is no Trinity (for example, Holy Spirit is not God), that sex constitues marriage and if a woman who is a virgin is raped, she becomes the wife of the rapist and if she has sexual intercourse with someone other than the rapist when the rapist is alive, she commits adultery (this belief looks unjust to my mentality, but I agree that there should be no extramarital sex at all).

I have never had diagnosis of mania or bipolar disorder. I had diagnosis of moderate depressive episode (F32.1) at the beginning of 2017, before that diagnosis I had the feeling of “despair” and made about 7 general confessions (from my entire life). I had similar episode at spring 2009, it was longer, but I was not diagnosed with affective disorder that time. It was also associated with religion, I also made general confessions during it. It was scary. Fear of Hell, being eternally tormented by Just God for deliberately sinning… My mentality has own religion which I named moraunism (monotheistic radical universalism), which considers Quran and Bible as greatest handiworks of Satan, so it is very heretic, not Catholic, not Islamic, not Torahic - it is against them. I coined new term for mentality: psychicity, it is a synonym.

The numerical miracles of Quran are something which attracts my attention very much. I may think that I am chosen by Allah to convert entire humanity to Quran-alone Islam. Coincidences appear to be interestingly similar in nature to my coincidences. I had some coincidences associated with numerical miracles of Quran. For a Christian, numerical miracles of Quran appear to be proof of great craftiness of Satan!

The numbers of letters in verses of first surah (Al-Fatiha) are: 19, 17, 12, 11, 19, 18, 43. Five of these seven numbers are primes: 19, 17, 11, 19, 43. Two numbers are not primes, but numbers of letters in neighbouring verses added to those composite numbers form primes: 17+12 = 29, 12 + 11 = 23, 19+18 = 37, 18+43 = 61.

Primes from first set (19, 17, 11, 19, 43) have product of digits: 1x9x1x7x1x1x1x9x4x3 = 6804. It is product of digits: 3x2x1x7x3x6x9. In the product there are digits forming both 21.7 and 3, 6, 9 together!
Primes from second set (29, 23, 37, 61) are formed by 6 sorts of digits: 2, 9, 3, 7, 6, 1. From these six digits phrases 21 7 and 3, 6, 9 can be formed at the same time! Product of digits forming these four primes is 6x2x1x7x3x6x9 = 13608. Again in the product there are digits forming 21 7 and 3, 6, 9.
Sum of both products mentioned above is 9x2x1x7x3x6x9 and their product is 18x((2x1x7)^2)x((3x6x9)^2). 18 is 3+6+9. 3, 6, 9 are members of “Tesla’s arithmetic sequence”.

Another coincidence with the numerical dependencies associated with Quran is about Thabit numbers (also known as 321 numbers) associated with certain slide. On that slide there was date: 2nd Nov, 2017, which is 2.11.2017. There were some bolded additive primes on that page: 23, 11, 797, 10037, 337, 79733710037, 11171. On that page there were 5 facts.

Numbers: 2, 11, 23, (2017) are associated with dates of my third full going to day hospital. It started 27.4.2017 and ended 24.7.2017. Both dates have the same digits in them and the same sum of numbers and digits in them. The digit that repeats oneself in them is 2. Sum of digits other than 2 is 19, which is considered special number for the Quran.

What is interesting? Sum of digits in both dates is 23: 2+7+4+2+0+1+7 = 2+4+7+2+0+1+7 = 23. 23 is an additive prime number which is a Thabit number which has a 321 number as sum of digits (5). What about sum of numbers? 27+4+2017 = 24+7+2017 = 2048. Number 2048 is 2 to 11th power (2^11)! 2 and 11 are additive prime numbers which are 321 numbers with Thabit numbers as their sum of digits!

The page which gave coincidences with Thabit numbers was about additive prime numbers associated with numbers of words in chapters of Quran. I did not check if data presented at that page are true, they did not mention which surahs contains prime numbers of words. There were 7 different bolded numbers:

1. 23 - additive prime, Thabit number with 321 number as sum of digits (5), number of digits - 2 (a Thabit number also).
2. 11 - additive prime. Thabit number with 321 number as sum of digits (2), number of digits - 2 (a Thabit number also).
3. 797 - additive prime. Although not a Thabit number itself, it has sum of digits which is Thabit prime (23) with Thabit prime as sum of digits (5). Numbers of digits - 3 - additive prime, although not a Thabit number.
4. 10037 - additive prime. Although not a Thabit number itself, it has sum of digits which is Thabit prime (11) with Thabit prime as sum of digits (2). Number of digits is a Thabit number (5).
5. 337 - additive prime. It is not a Thabit number and has sum of digits which is a non-additive prime (13) which is not a Thabit number, although it is the sum of 1st and 3rd Thabit numbers (2+11). Number of digits is 3 - not a 321 number.
6. 79733710037 - additive prime. It is not a 321 number itself, but it has Thabit prime (47) as the sum of digits, sum of digits of 47 is 11, which is a Thabit prime with a Thabit prime as the sum of digits (2). Number of digits is a Thabit prime (11) with Thabit number as sum of digits (2).
7. 11171 - additive prime. It is not a 321 number itself, but has a Thabit prime (11) as sum of digits. Number of digits - 5 - is a Thabit prime.

Let’s look at the number which has not Thabit prime as sum of digits - 337.

1. Two sorts of digits appear in 337 - 3 and 7, their product is 21.
2. Only one digit appears once in 337 - it is 7.
3. One digits repeats oneself in 337 - it is 3.
4. Sum of repeating digits in 337 is 6 (3+3).
5. Product of repeating digits in 337 is 9 (3x3).
6. Product of three digits forming number 337 is 63, which is divisible by 21 and 7.
7. Number 63 consists of two digits - 6 and 3.
8. Sum of digits of 63 is 9.
9. Product of digits in 63 is 18, 18 = 3+6+9.

Let’s look at two numbers which have not Thabit primes as numbers of digits - 337 and 797.

1. Both numbers have 3 digits.
2. These two numbers together have 6 digits.
3. The only digit which does not repeat oneself in both numbers together is 9.
4. Sum of digits in these two numbers together is 36, which is built by 3 and 6 and has sum of digits 9 and product of digits 18 (3+6+9).
5. Arithmetic mean of sums of digits in these both numbers together is 18 ((23+13):2), in sums of numbers together (23 and 13) one digit repeats oneself - it is 3 and it occurs two times, 3+3 = 6 and 3x3 = 9, sum of digits other than 3s occurring in these sums is 3 (2+1).
6. The digit which repeats most often in numbers 797 and 337 together is 7, it appears 3 times and 7+7+7 = 21.
Products of digits in both numbers are divisible by 7 and 21: 7x9x7 = 441 = 21x21, 3x3x7 = 63 = 21x3; larger product is 7 times larger than smaller.
7. Sum of numbers 797 and 337 is 1134, which has sum of digits 9 and 3 digits other than 3 (or 6 or 9) which sum is 6 (1+1+4), 1134 has also 4 digits with product of them 12 (1x1x3x4); 1134 = ((2-1)x7)x3x6x9 = 1x7x3x6x9 = 7x3x6x9.

I must admit that I do not want to deprave anyone by contents in my previous posts in that topic. I wrote something about non-Catholic religions and presented ideas which potentially can be dangerous to Christian faith. I think that these informations are very important for knowing my problems and mental disorders, for understanding my difficulties.

Despite many coincidences/delusions of reference/ideas of reference I had practically no hallucinations, especially longer ones. I had auditory hallucinations very rarely and their were really simple, they were single sounds or words which occurred usually before getting asleep. It happened maybe about 15 times in my life.

I remember that when I was about 12 - 15 years old I heard strange music in the room in which I slept. I don’t think that it was hallucination, but I might wonder what was the source of that music. It would rather not be generated by mobile phone (in that time mobile phones in my home were probably not as advanced technologically to emit sound of such a high quality).

What are origins of my most interesting coincidences associated with geometric or arithmetic sequences?

- 21, 42, 84 - it was rather first sequence which attracted my attention. It is associated with numbers after letter F and before dots (if dots are present) in ICD-10 codes of three mental disorders with which I was diagnosed 28.4.2015 first time in my life. They were: F21 - schizotypal disorder, F42.2 - mixed obsessive-compulsive disorder, F84.5 - Asperger’s syndrome.
- 3, 6, 9 - I heard about these three numbers (which form arithmetic sequence) 13.11.2015 about 5 - 6 p.m., at program emitted on 84th channel of satellite TV, it was about extraterrestrial beings (in which I do not believe) and Nikola Tesla to whom saying “If you only knew the magnificence of the 3, 6 and 9, then you would have a key to the universe” is attributed, first coincidence with these three numbers was associated with the fact that exactly five weeks later, 18.12.2015, I watched or listened another episode of the same program on the same TV channel, also between 5 and 6 p.m. and due to it I had quite large coincidences, date 18.12.2015 is interesting - it is in 21th century, 15th year of that century, 12th month in that year and 18th day of that month - numbers 21, 15, 12, 18 sorted ascendingly are four next terms of arithmetic sequence starting by numbers 3, 6, 9!
- 33, 42, 51 - they are atomic numbers of three chemical elements which Polish names I “considered” to be vulgar words for immodest parts of body when I was about 13 - 15 years old. These numbers forms arithmetic sequence which has three numbers, six digits and nine as common difference. I noticed coincidences associated with that sequence only about first half of 2018.
- 6, 13, 20 - days of the month in December 2014, on which men from my small locality dies. They have graves which are in one row one after another at the same cementery (and cementeries were important for my first coincidences in September 2014). They quite closely to each other. One of them (who died 13.12.2014) was my grandfather.

I do not know that I have schizophrenia or not, for example, only persistent delusional disorder or schizotypal disorder (in USA known as "schizotypal personality disorder"). Coincidences are the phenomenon which has clear onset time, unlike much fewer other ideas of reference or suspiciousness. I had diagnosis of schizophrenia for some weeks above 3 years earlier. I may function significantly poorer than many schizophrenics who have hallucinations or true delusions, but it may be due to OCD (which is persistent despite medications) and aucorigia (my neologism for autism and similar conditions coined from words "autocontrast" and "originality", condition that is developmental and is associated with social inadequacy and peculiarity). I have pervasive developmental disorder which makes me odd since childhood.

Coincidences are really pleasant things for me. I think that I found male lineage of biblical Jacob called Israel. I would say that there is 90% chance that haplogroup J-Z18271 (sometimes named J-Y3088) is the lineage of Israelites, including Moses and Aaron who lived in II millennium BC. Another possibility is that Israelites were from one of subclades of haplogroup J-FGC8712 (also called J-Y6074) - it is very probable that it was the haplogroup of Muhammad, who is one of the most influential people in history of humanity.

There is something interesting in numbers occurring in names of these two haplogroups (18271 and 8712) - they are built by the same digits (1, 2, 7, 8 ) and have the same products of digits (1x2x8x7x1 = 8x7x1x2 = 112 = 28x4). 28 and 4 are numbers meaning day in month and month in year of the date of my first diagnosis of F84.5, F42.2, F21 at the same time - 28.4.2015.

There are billions of believers in Abrahamic faiths in the world, but it looks that (almost) none of them noticed that genetic research (tests of haplogroup) may give proof of the existence of people mentioned in books like Bible and Quran.

^^^NCA, do you believe in the "bible code"?

Rather not. But I read about numerical miracles in the Bible too.

I admit that religious themes are very important and problematic for me. It is very hard. I have obsessions about oathing which are more or less associated with the religion.

Coincidences are rather not disabling for me. They may have also religious meanings or trigger religious thoughts in my mind. I may function so low due to serious problems in spiritual area. Examination of conscience is something really hard for me. I would say that religious issues may have more impact on OCD than on schizotypal disorder/schizophrenia(?) in my case. Both OCD and StD/SZ may interfere with religion.

I noticed some coincident things linking seven geometric or arithmetic sequences mentioned below:

- 3, 6, 12,
- 1, 4, 16,
- 0, 7, 14,
- 1, 7, 13,
- 2, 7, 12,
- 3, 7, 11,
- 4, 7, 10.

They all are coincident for me. What links them?

- all have the same sum of numbers (21),
- all have the same arithmetic mean of numbers (7),
- all have the same number of numbers (3, which is 21:7 and 12:4),
- all have the same number of digits (4),
- all have the same sum of digits (12),
- all have the same arithmetic mean of sums of digits in numbers building these sequences (4).

So there is really huge coincidence with both 21 7 and 12 4, which I noticed only last night.

I may think that coincidences are from satan or (at least some of them) from God. I have anti-Catholic thoughts, for example pro-islamic (that I was chosen by Allah to make quranic revolution because of reading about (alleged) numerical miracles of Quran and having quite many coincidences associated with that book) or "liberal" monotheistic (that I was chosen by Only God to teach moraunism - monotheistic way of life without eternal punishments and torments after death and numerous coincidences are proof of apostleship). These claims are temptations against Catholic faith.

I (still) have thoughts or "beliefs" that women do not defecate, flatulate, urinate, have no intestines, liver, pancreas, kidneys, lungs, brain, hemoglobin, need of trace elements etc. Or men also have not them. For example that Germans have not them regardless of biological sex.

I think that wifelessness may ruin my life. I have urge to have someone like "domestic animal" to hug, kiss, caress etc.

I noticed some quartets of three-number arithmetic sequences (ASes) which are coincident for me and have 24 or 42 as middle terms and are formed by six digits:

1. 33, 42, 51 and formed from digits of it:
- 33, 42, 51 (common difference 9),
- 15, 24, 33 (CD 9),
- 13, 24, 35 (CD 11),
- 31, 42, 53 (CD 11).
2. Ascending ASes from digits: 1, 2, 2, 3, 4, 6:
- 12, 24, 36 (CD 12),
- 21, 42, 63 (CD 21),
- 16, 24, 32 (CD 8 ),
- 23, 42, 61 (CD 19).
3. Ascening ASes from "miraculous quartet":
- 11, 24, 37 (CD 13),
- 11, 42, 73 (CD 31),
- 13, 42, 71 (CD 29),
- 17, 24, 31 (CD 7).

Sequences from second quartet are coincident with quartet of ASes formed by digits of 33, 42, 51 having 33 as middle term:
- 14, 33, 52 (CD 19),
- 25, 33, 41 (CD 8 ),
- 12, 33, 54 (CD 21),
- 21, 33, 45 (CD 12).
Sequences with the same sums of digits in numbers in both quartets have the same CDs!